Warm inflation triggered by entropies of some recent dark energy models within <inline-formula><tex-math id="Z-20240805165853">\begin{document}$ {\boldsymbol{f}\boldsymbol(\boldsymbol{Q}\boldsymbol)} $\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2024-0240_Z-20240805165853.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2024-0240_Z-20240805165853.png"/></alternatives></inline-formula> gravity

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